passpadi

2018

Mathematics

JAMB

A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room.

A.

15/17

B.

9/17

C.

8/15

D.

12/17

Correct Answer: 15/17

Explanation

Given length of the room = 12m; breadth = 9m and height = 8m. The room is a cuboid in shape, therefore the length of the diagonal = √(l2+b2+h2) = √(122+92+82) =√(289) = 17m. The diagonal makes an angle with the diagonal of the floor: √122+92 = √(225) = 15m The cosine of the angle that the diagonal makes with the floor (θ) = 15/17.

Given length of the room = 12m; breadth = 9m and height = 8m. The room is a cuboid in shape, therefore the length of the diagonal = √(l2+b2+h2) = √(122+92+82) =√(289) = 17m. The diagonal makes an angle with the diagonal of the floor: √122+92 = √(225) = 15m The cosine of the angle that the diagonal makes with the floor (θ) = 15/17.
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